- #1

Alex126

- 84

- 5

## Homework Statement

The coordinates of the parallelogram ABCD are:

A (-2; 1)

B (5; 2)

C (6; 5)

D (-1; 4)

We also know that the diagonals intercept in the middle of each other (so if the diagonals are AC and BD, and the intercept in point M, then AM = MC, and BM = MD). Not sure if this information is useful or not though.

## Homework Equations

Area = base * height

## The Attempt at a Solution

So...yea, no clue actually.

I know how to calculate AB = CD = (...) = 5√2

Likewise, BC = AD = (...) = √10

For what they're worth:

AC = 4√5

BD = 2√10

I tried googling around for an answer, and everyone seems to solve it with these steps:

- Calculate the line passing through A and B

- Calculate the distance between point C (or D) and the line passing through AB; this gives you the height

- Do AB*height

However, we didn't do lines equations at school, so this assigned problem should probably be done in some other way (Pythagorean theorem, distance between two points, middle point of a segment).